Search a number
-
+
1014444413141 = 1761978249193
BaseRepresentation
bin11101100001100011001…
…10010101000011010101
310120222110101010122021112
432300301212111003111
5113110040232210031
62054010200224405
7133201610144465
oct16606146250325
93528411118245
101014444413141
11361250474315
1214473346b105
137487a999473
1437156965ba5
151b5c48d262b
hexec319950d5

1014444413141 has 8 divisors (see below), whose sum is σ = 1091726100504. Its totient is φ = 939119224320.

The previous prime is 1014444413089. The next prime is 1014444413267. The reversal of 1014444413141 is 1413144444101.

It can be written as a sum of positive squares in 4 ways, for example, as 53397504241 + 961046908900 = 231079^2 + 980330^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1014444413141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1014444413098 and 1014444413107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014444413341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489123560 + ... + 489125633.

It is an arithmetic number, because the mean of its divisors is an integer number (136465762563).

Almost surely, 21014444413141 is an apocalyptic number.

It is an amenable number.

1014444413141 is a deficient number, since it is larger than the sum of its proper divisors (77281687363).

1014444413141 is an equidigital number, since it uses as much as digits as its factorization.

1014444413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978249271.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 1014444413141 its reverse (1413144444101), we get a palindrome (2427588857242).

The spelling of 1014444413141 in words is "one trillion, fourteen billion, four hundred forty-four million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 17 61 1037 978249193 16630236281 59673200773 1014444413141